Symplectic shell-model calculation for 24Mg

G. Rosensteel, Tulane University
J. P. Draayer, Louisiana State University
K. J. Weeks, Louisiana State University


The symplectic shell model, which incorporates major shell-configuration mixing as required by the nuclear quadrupole degree of freedom, is applied to 24Mg. The model interaction is a sum of six terms, two built from generators of the symplectic algebra and four from generators of the embedded Elliott su(3) subalgebra. By adjusting the six parameters of the interaction, both the calculated spectrum and the absolute B(E2) rates for the ground and γ-bands are found to be in good agreement with experiment. In particular, the γ-band is properly positioned and the interband rates are adequately reproduced. No effective charge is employed. © 1984.